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Finding the Fourth Proportional to 110, 164.59 and 69.23

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Solution

The fourth proportional to 110, 164.59 and 69.23 is: 103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110 : 164.59 = 69.23 : x
  2. Step 2: Convert to fraction form
    110/164.59 = 69.23/x
  3. Step 3: Cross multiply
    110x = 164.59 × 69.23
  4. Step 4: Simplify right side
    110x = 11,394.57
  5. Step 5: Solve for x
    x = 11,394.57/110
  6. Step 6: Final answer
    x = 103.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.